Graphics.Rasterific.Svg.PathConverter:segmentToBezier from rasterific-svg-0.2.3.1, B

Time bar (total: 7.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.3s (17.4%)

Memory
-16.0MiB live, 866.4MiB allocated
Samples
931.0ms8 254×0valid
1.0ms3valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 586.0ms
ival-cos: 257.0ms (43.8% of total)
ival-sin: 171.0ms (29.2% of total)
ival-mult: 63.0ms (10.7% of total)
ival-add: 43.0ms (7.3% of total)
ival-sub: 41.0ms (7% of total)
ival-true: 7.0ms (1.2% of total)
ival-assert: 4.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain117.0ms (1.5%)

Memory
-2.7MiB live, 75.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (cos.f64 y))
00-0-(sin.f64 y)
00-0-y
00-0-z
00-0-(cos.f64 y)
00-0-(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
00-0-x
00-0-(*.f64 z (sin.f64 y))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
50.0ms512×0valid
Compiler

Compiled 61 to 28 computations (54.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sin: 13.0ms (38.3% of total)
ival-cos: 12.0ms (35.4% of total)
ival-mult: 4.0ms (11.8% of total)
ival-add: 3.0ms (8.8% of total)
ival-sub: 2.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess70.0ms (0.9%)

Memory
20.7MiB live, 20.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03590
110184
224883
358383
4115183
5153083
6181483
7206983
8209283
089
0139
1229
2429
3669
4979
51519
62649
73989
84809
95289
105589
05589
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify15.0ms (0.2%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(+.f64 x (cos.f64 y))
cost-diff0
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01324
12224
24224
36624
49724
515124
626424
739824
848024
952824
1055824
055824
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x))
(+.f64 x (cos.f64 y))
(+.f64 (cos.f64 y) x)
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
(*.f64 (sin.f64 y) z)
z
(sin.f64 y)

localize70.0ms (0.9%)

Memory
-7.8MiB live, 29.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0
(cos.f64 y)
accuracy0.01171875
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy0.1171875
(*.f64 z (sin.f64 y))
Samples
64.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-cos: 40.0ms (72.4% of total)
ival-mult: 6.0ms (10.9% of total)
ival-sin: 6.0ms (10.9% of total)
ival-sub: 1.0ms (1.8% of total)
ival-add: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
5 → 108
Calls
Call 1
Inputs
#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
Outputs
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1 (* y z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* y (- (* -1/2 y) z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ())
#s(alt (- (cos y) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (cos y) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@0
((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms
z
@-inf
((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms
z
@inf
((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms
y
@-inf
((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y))
1.0ms
y
@0
((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (sin y))

simplify193.0ms (2.5%)

Memory
6.4MiB live, 164.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118674
1334669
2869661
32601657
45308657
57444657
08081629
Stop Event
iter limit
node limit
Counts
108 → 103
Calls
Call 1
Inputs
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
Outputs
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1 (* y z))))
(-.f64 x (fma.f64 z y #s(literal -1 binary64)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 z y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y)
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(cos y)
(cos.f64 y)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(- (cos y) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(- (+ x (cos y)) (* z (sin y)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(cos y)
(cos.f64 y)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
x
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
(* x (+ 1 (/ (cos y) x)))
(+.f64 (cos.f64 y) x)
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(+.f64 (cos.f64 y) x)

rewrite202.0ms (2.6%)

Memory
-10.2MiB live, 195.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
01321
14721
238821
3563021
0822521
Stop Event
iter limit
node limit
iter limit
Counts
5 → 188
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(sin.f64 y)
Outputs
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eval56.0ms (0.7%)

Memory
8.0MiB live, 46.7MiB allocated
Compiler

Compiled 6 936 to 647 computations (90.7% saved)

prune34.0ms (0.4%)

Memory
-5.1MiB live, 33.5MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New28011291
Fresh000
Picked101
Done000
Total28111292
Accuracy
100.0%
Counts
292 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.9%
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x)))
99.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
83.4%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
63.4%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
99.8%
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
49.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
50.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
59.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
76.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
60.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
24.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Compiler

Compiled 262 to 208 computations (20.6% saved)

simplify267.0ms (3.5%)

Memory
-11.0MiB live, 302.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
#s(approx (cos y) #s(literal 1 binary64))
cost-diff0
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
cost-diff0
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
cost-diff0
(cos.f64 y)
cost-diff0
(+.f64 (cos.f64 y) x)
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
cost-diff0
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
cost-diff0
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(sin.f64 y)
cost-diff0
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))
cost-diff6080
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
cost-diff27776
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031207
051227
191227
2207185
3930185
42910185
08327185
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))
(sin.f64 y)
y
z
(+.f64 (cos.f64 y) x)
(cos.f64 y)
x
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(neg.f64 z)
(pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y
Outputs
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))
(fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y)))
(sin.f64 y)
y
z
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(cos.f64 y)
x
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y)))
(neg.f64 z)
(pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z))
(*.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
z
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 x (cos.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(cos.f64 y)
y
x
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)
x
#s(approx (cos y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
y

localize83.0ms (1.1%)

Memory
-8.9MiB live, 189.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 y)
accuracy0.01171875
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
accuracy0.1171875
(*.f64 z (sin.f64 y))
accuracy31.882099706055
#s(approx (cos y) #s(literal 1 binary64))
accuracy0
(+.f64 (cos.f64 y) x)
accuracy0
(cos.f64 y)
accuracy15.172502653415592
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy0
(*.f64 #s(literal -1/2 binary64) y)
accuracy0.00390625
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))
accuracy31.974112705394365
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy25.17765406818327
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
accuracy0.03515625
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))
accuracy0.04296875
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
accuracy0.08984375
(pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy0.15625
(*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
Samples
61.0ms256×0valid
Compiler

Compiled 192 to 27 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 12.0ms (28.2% of total)
ival-add: 10.0ms (23.5% of total)
ival-sin: 7.0ms (16.4% of total)
ival-cos: 5.0ms (11.7% of total)
ival-pow: 4.0ms (9.4% of total)
ival-sub: 2.0ms (4.7% of total)
ival-neg: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series113.0ms (1.5%)

Memory
20.5MiB live, 178.4MiB allocated
Counts
19 → 516
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (/ (cos y) x) (/ (* z (sin y)) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 2) x) (+ (cos y) (* z (sin y)))) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 3) x) (pow (+ (cos y) (* z (sin y))) 2)) x)) (+ (cos y) (* z (sin y)))) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
70.0ms
y
@inf
((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)))
5.0ms
y
@-inf
((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)))
4.0ms
z
@-inf
((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)))
3.0ms
z
@inf
((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)))
3.0ms
y
@0
((* (+ (* (sin y) z) (+ (cos y) x)) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1))) (* (+ (* (neg z) (sin y)) (+ (cos y) x)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1)) (+ (* (sin y) z) (+ (cos y) x)) (sin y) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (pow (+ (* (sin y) z) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)))

simplify219.0ms (2.9%)

Memory
11.5MiB live, 325.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05756233
117905924
255915774
082575523
Stop Event
iter limit
node limit
Counts
516 → 493
Calls
Call 1
Inputs
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
1
(+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))))
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y))))))
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y))))))
(+ x (cos y))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(* -1/2 y)
(+ (* -1 z) (* -1/2 y))
(+ (* -1 z) (* -1/2 y))
(+ (* -1 z) (* -1/2 y))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(/ 1 (+ x (cos y)))
(+ (* -1 (/ (* z (sin y)) (pow (+ x (cos y)) 2))) (/ 1 (+ x (cos y))))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4))) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (/ (sin y) (pow (+ x (cos y)) 2)))) (/ 1 (+ x (cos y))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
-1
(- (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y)))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))
(- (+ (* -1 (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y)))) (+ (/ x (* z (sin y))) (/ (cos y) (* z (sin y))))) (+ 1 (* -1 (/ (+ x (cos y)) (* z (sin y))))))
(- (+ (/ x (* z (sin y))) (+ (/ (cos y) (* z (sin y))) (/ (* (pow (+ x (cos y)) 2) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 3) (pow (sin y) 2))))) (+ 1 (+ (* -1 (/ (+ x (cos y)) (* z (sin y)))) (/ (* (+ x (cos y)) (- (+ (/ x (sin y)) (/ (cos y) (sin y))) (* -1 (/ (+ x (cos y)) (sin y))))) (* (pow z 2) (sin y))))))
(* z (sin y))
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))
(* z (+ (sin y) (+ (/ x z) (/ (cos y) z))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* -1 z)
(* z (- (* -1/2 (/ y z)) 1))
(* z (- (* -1/2 (/ y z)) 1))
(* z (- (* -1/2 (/ y z)) 1))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(/ 1 (* z (sin y)))
(/ (+ (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(/ (- (+ (/ 1 (sin y)) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z)
(/ (- (+ (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (/ 1 (sin y))) (+ (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
-1
(- (* -1 (/ (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (sin y)))) (* -1 (/ (+ x (cos y)) (sin y)))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (+ x (cos y)) (sin y))) (* -1 (/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (* z (pow (sin y) 2)))) (* -1 (/ (* (+ x (cos y)) (- (* -1 (/ (+ x (cos y)) (sin y))) (+ (/ x (sin y)) (/ (cos y) (sin y))))) (sin y)))) z))) (+ (/ x (sin y)) (/ (cos y) (sin y)))) z)) 1)
(* z (sin y))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(* -1 (* z (+ 1 (* 1/2 (/ y z)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(/ 1 (* z (sin y)))
(* -1 (/ (- (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
1
(+ 1 (* y (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))))
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x)))))) (/ z (+ 1 x)))))
(+ 1 (* y (- (+ (* -1 (/ z (+ 1 x))) (* y (- (* y (- (* 1/6 (/ z (+ 1 x))) (+ (* -1/2 (/ (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x))) (+ 1 x))) (+ (* -1/6 (/ z (+ 1 x))) (/ (* z (- (* 1/2 (/ 1 (+ 1 x))) (+ (* 1/2 (/ 1 (+ 1 x))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (+ 1 x)))))) (/ (* z (- (* -1 (/ z (+ 1 x))) (/ z (+ 1 x)))) (+ 1 x))))) (/ z (+ 1 x)))))
(+ 1 x)
(+ 1 (+ x (* y z)))
(+ 1 (+ x (* y (+ z (* -1/2 y)))))
(+ 1 (+ x (* y (+ z (* y (- (* -1/6 (* y z)) 1/2))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(* -1 z)
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(- (* -1/2 y) z)
(- (* -1/2 y) z)
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1
(+ 1 (* -1/2 (pow y 2)))
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(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
1
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(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
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(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
(/ 1 (+ 1 x))
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(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ z (pow (+ 1 x) 2))) (+ (* 1/2 (/ z (pow (+ 1 x) 3))) (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x)))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (/ z (pow (+ 1 x) 2)))) (/ 1 (+ 1 x)))
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(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(sin y)
(sin y)
(sin y)
(sin y)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))
(* -1/2 y)
(* y (- (* -1 (/ z y)) 1/2))
(* y (- (* -1 (/ z y)) 1/2))
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(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
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(- (+ x (cos y)) (* z (sin y)))
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(- (+ x (cos y)) (* z (sin y)))
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(cos y)
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(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
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(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) (+ x (+ (cos y) (* z (sin y)))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(sin y)
(sin y)
(sin y)
(sin y)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (/ z y))))
(* -1 (* y (+ 1/2 (/ z y))))
(* -1 (* y (+ 1/2 (/ z y))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ (cos y) (* -1 (* z (sin y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ (+ (cos y) (* -1 (* z (sin y)))) (+ (cos y) (* z (sin y))))
(+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (/ 1 (+ (cos y) (* z (sin y)))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y))))))
(+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y))))))
(+ (* -1 (/ (* z (sin y)) (+ (cos y) (* z (sin y))))) (+ (* x (- (+ (* x (- (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 3))) (+ (* x (- (/ 1 (pow (+ (cos y) (* z (sin y))) 3)) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 4))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 4))))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y))))) (+ (* -1 (/ (* z (sin y)) (pow (+ (cos y) (* z (sin y))) 2))) (/ (cos y) (pow (+ (cos y) (* z (sin y))) 2))))) (/ (cos y) (+ (cos y) (* z (sin y))))))
(+ (cos y) (* z (sin y)))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(+ x (+ (cos y) (* z (sin y))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ 1 (* y (- (* -1/2 y) z)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(/ 1 (+ (cos y) (* z (sin y))))
(+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 2))) (/ 1 (+ (cos y) (* z (sin y)))))
(+ (* x (- (/ x (pow (+ (cos y) (* z (sin y))) 3)) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* z (sin y))) 4))) (/ 1 (pow (+ (cos y) (* z (sin y))) 3)))) (/ 1 (pow (+ (cos y) (* z (sin y))) 2)))) (/ 1 (+ (cos y) (* z (sin y)))))
(+ (cos y) (* -1 (* z (sin y))))
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(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
1
(- (+ 1 (* -1 (/ (* z (sin y)) x))) (/ (* z (sin y)) x))
(- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 2))))) (/ (* z (sin y)) x))
(- (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 3)))) (+ (/ (* z (sin y)) x) (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (* z (sin y))) (* z (sin y)))) (pow x 2))))
x
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))
(* x (+ 1 (+ (/ (cos y) x) (/ (* z (sin y)) x))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
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(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ (cos y) (* z (sin y))) x))) x)
(/ (- (+ 1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* z (sin y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (cos y) (* z (sin y))) 2) (pow x 2))) (+ (/ (cos y) x) (/ (* z (sin y)) x)))) x)
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
1
(+ 1 (* -1 (/ (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y))))) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (/ (- (* -1 (/ (* (pow (+ (cos y) (* z (sin y))) 2) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))) x)) (* -1 (* (+ (cos y) (* z (sin y))) (- (* -1 (+ (cos y) (* -1 (* z (sin y))))) (* -1 (+ (cos y) (* z (sin y)))))))) x))) (* -1 (+ (cos y) (* z (sin y))))) x)))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(/ 1 x)
(* -1 (/ (- (+ (/ (cos y) x) (/ (* z (sin y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 2) x) (+ (cos y) (* z (sin y)))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* z (sin y))) 3) x) (pow (+ (cos y) (* z (sin y))) 2)) x)) (+ (cos y) (* z (sin y)))) x)) 1) x))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
Outputs
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
1
#s(literal 1 binary64)
(+ 1 (* z (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))))
(fma.f64 (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64)) z #s(literal 1 binary64))
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* -1 (/ (* z (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (+ x (cos y))))) (/ (sin y) (+ x (cos y))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64)) (sin.f64 y)) (neg.f64 (/.f64 z (+.f64 (cos.f64 y) x))) (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64))) z #s(literal 1 binary64))
(+ 1 (* z (- (+ (* -1 (/ (sin y) (+ x (cos y)))) (* z (- (/ (* z (* (pow (sin y) 2) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y)))))) (pow (+ x (cos y)) 2)) (/ (* (sin y) (- (* -1 (/ (sin y) (+ x (cos y)))) (/ (sin y) (+ x (cos y))))) (+ x (cos y)))))) (/ (sin y) (+ x (cos y))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (+.f64 (cos.f64 y) x)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64))) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))))) z (*.f64 (/.f64 (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -2 binary64))) z #s(literal 1 binary64))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* z (sin y))))
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* z (sin y))))
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* z (sin y))))
(fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ 1 (+ x (* -1/2 (pow y 2))))
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rewrite209.0ms (2.7%)

Memory
-15.9MiB live, 351.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031177
051197
1217155
21828155
09477155
Stop Event
iter limit
node limit
iter limit
Counts
19 → 696
Calls
Call 1
Inputs
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#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z)
(*.f64 #s(literal -1/2 binary64) y)
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) x)
(cos.f64 y)
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(+.f64 x #s(approx (cos y) #s(literal 1 binary64)))
#s(approx (cos y) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
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eval362.0ms (4.7%)

Memory
-7.5MiB live, 624.9MiB allocated
Compiler

Compiled 53 692 to 3 545 computations (93.4% saved)

prune59.0ms (0.8%)

Memory
11.1MiB live, 208.8MiB allocated
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1 558191 577
Fresh156
Picked235
Done000
Total1 561271 588
Accuracy
100.0%
Counts
1 588 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.9%
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x)))
99.7%
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
83.4%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
52.6%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
63.4%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
24.8%
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 #s(approx (+ (* (sin y) z) (+ (cos y) x)) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))))
59.9%
(*.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
93.9%
(*.f64 #s(approx (+ (* (sin y) z) (+ (cos y) x)) (fma.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (/.f64 (cos.f64 y) x)) x x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
49.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
41.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
29.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
49.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
45.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
42.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
59.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
76.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
41.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
41.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
60.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
88.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z))
24.9%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
49.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x #s(literal 1 binary64)) x)))
21.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
3.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
8.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
40.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
24.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
Compiler

Compiled 814 to 587 computations (27.9% saved)

simplify132.0ms (1.7%)

Memory
9.8MiB live, 242.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 (cos.f64 y) x) z)
cost-diff0
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z))
cost-diff704
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff0
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff128
(-.f64 (*.f64 x x) #s(literal 1 binary64))
cost-diff1088
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff0
#s(approx (+ 1 x) #s(literal 1 binary64))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
cost-diff0
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
cost-diff7168
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039281
063287
1107275
2175267
3392263
4757261
51379261
63553261
08302260
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(neg.f64 z)
z
(sin.f64 y)
y
(+.f64 (cos.f64 y) x)
(cos.f64 y)
x
#s(literal -1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 y y)
y
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z))
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))
(/.f64 (+.f64 (cos.f64 y) x) z)
(+.f64 (cos.f64 y) x)
(cos.f64 y)
y
x
z
(sin.f64 y)
Outputs
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
#s(literal 1 binary64)
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1 binary64))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(neg.f64 z)
z
(sin.f64 y)
y
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(cos.f64 y)
x
#s(literal -1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal -1 binary64))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64))
#s(literal -1/720 binary64)
(*.f64 y y)
y
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))))
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))
(-.f64 (/.f64 (+.f64 x (cos.f64 y)) z) (sin.f64 y))
(/.f64 (+.f64 (cos.f64 y) x) z)
(/.f64 (+.f64 x (cos.f64 y)) z)
(+.f64 (cos.f64 y) x)
(+.f64 x (cos.f64 y))
(cos.f64 y)
y
x
z
(sin.f64 y)

localize138.0ms (1.8%)

Memory
-5.0MiB live, 323.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z))
accuracy0.01171875
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))
accuracy0.046875
(/.f64 (+.f64 (cos.f64 y) x) z)
accuracy7.151133226343089
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)
accuracy0.07259750976844201
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
accuracy0.3045416199049925
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
accuracy15.172502653415592
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
accuracy35.265162190462355
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0
(*.f64 x x)
accuracy12.801555795991844
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy25.17765406818327
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy25.17765406818327
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
accuracy27.852342950560228
#s(approx (+ 1 x) #s(literal 1 binary64))
accuracy0
(cos.f64 y)
accuracy0.04296875
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
accuracy0.078125
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
accuracy0.21875
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
Samples
113.0ms256×0valid
Compiler

Compiled 206 to 36 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 38.0ms (42.1% of total)
ival-sin: 12.0ms (13.3% of total)
ival-sub: 9.0ms (10% of total)
ival-add: 8.0ms (8.9% of total)
const: 7.0ms (7.7% of total)
ival-cos: 6.0ms (6.6% of total)
ival-div: 5.0ms (5.5% of total)
ival-pow: 4.0ms (4.4% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series81.0ms (1.1%)

Memory
10.0MiB live, 129.7MiB allocated
Counts
22 → 516
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ())
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ 1 x) #s(literal 1 binary64)) (patch #s(approx (+ 1 x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) (patch (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) (patch (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (cos.f64 y) x) z) (patch (/.f64 (+.f64 (cos.f64 y) x) z) #<representation binary64>) () ())
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
9.0ms
z
@0
((/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (+ x (cos y)) (* z (sin y))) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (cos y) (- x 1) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2))
4.0ms
y
@-inf
((/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (+ x (cos y)) (* z (sin y))) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (cos y) (- x 1) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2))
4.0ms
y
@inf
((/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (+ x (cos y)) (* z (sin y))) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (cos y) (- x 1) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2))
3.0ms
x
@inf
((/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (+ x (cos y)) (* z (sin y))) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (cos y) (- x 1) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2))
3.0ms
x
@-inf
((/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (+ (* (neg z) (sin y)) (+ (cos y) x)) (neg z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (+ x (cos y)) (* z (sin y))) (- (/ (+ (cos y) x) z) (sin y)) (/ (+ (cos y) x) z) (cos y) (- x 1) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2))

simplify178.0ms (2.3%)

Memory
-11.7MiB live, 314.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03685126
110644997
231134904
081454768
Stop Event
iter limit
node limit
Counts
516 → 494
Calls
Call 1
Inputs
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ 1 (+ x (cos y)))
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ (+ x (cos y)) z)
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
(* z (+ (/ 1 z) (/ x z)))
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z))))
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z))))
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ (/ 1 z) (/ x z))
(+ (* -1 y) (+ (/ 1 z) (/ x z)))
(+ (* y (- (* -1/2 (/ y z)) 1)) (+ (/ 1 z) (/ x z)))
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (+ (/ 1 z) (/ x z)))
(/ (+ 1 x) z)
(+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z)))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (+ (/ 1 z) (/ x z)))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
1/24
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* -1/720 (pow y 6))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(/ (+ x (cos y)) z)
(cos y)
(cos y)
(cos y)
(cos y)
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(+ (cos y) (* -1 (* z (sin y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ 1 (+ (cos y) (* -1 (* z (sin y)))))
(+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 2))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))
(+ (* x (- (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 3)) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 4))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 3)))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))
(+ (cos y) (* -1 (* z (sin y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(* z (- (/ (cos y) z) (sin y)))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (/ (cos y) z) (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(- (+ (/ x z) (/ (cos y) z)) (sin y))
(/ (cos y) z)
(+ (/ x z) (/ (cos y) z))
(+ (/ x z) (/ (cos y) z))
(+ (/ x z) (/ (cos y) z))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x)
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x)
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(/ x z)
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))
(* x (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))
(/ x z)
(* x (+ (/ 1 z) (/ (cos y) (* x z))))
(* x (+ (/ 1 z) (/ (cos y) (* x z))))
(* x (+ (/ 1 z) (/ (cos y) (* x z))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(/ 1 x)
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(/ x z)
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- (/ (cos y) z) (sin y)) x)) (/ 1 z))))
(/ x z)
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))
(* -1 (* x (- (* -1 (/ (cos y) (* x z))) (/ 1 z))))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(/ 1 (+ x (cos y)))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))
(fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64))) (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)))) z (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(/ (+ x (cos y)) z)
(/.f64 (+.f64 (cos.f64 y) x) z)
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) z)
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) z)
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) z)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) z)
(/ (+ x (cos y)) z)
(/.f64 (+.f64 (cos.f64 y) x) z)
(/ (+ x (cos y)) z)
(/.f64 (+.f64 (cos.f64 y) x) z)
(/ (+ x (cos y)) z)
(/.f64 (+.f64 (cos.f64 y) x) z)
(/ (+ x (cos y)) z)
(/.f64 (+.f64 (cos.f64 y) x) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z)) z)
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (fma.f64 (/.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) (/.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z) (+.f64 (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)))) z)
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)
(/.f64 (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (/.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) (/.f64 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z) (+.f64 (+.f64 (/.f64 (/.f64 (cos.f64 y) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z)) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* -1 (* z (sin y)))
(*.f64 (neg.f64 (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(*.f64 (-.f64 (+.f64 (/.f64 (cos.f64 y) z) (/.f64 x z)) (sin.f64 y)) z)
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rewrite218.0ms (2.8%)

Memory
-8.7MiB live, 346.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039247
063247
1272231
22159231
08934230
Stop Event
iter limit
node limit
iter limit
Counts
22 → 794
Calls
Call 1
Inputs
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(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))
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(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 x x)
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z)
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z))
(-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y))
(/.f64 (+.f64 (cos.f64 y) x) z)
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(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))
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eval264.0ms (3.4%)

Memory
15.5MiB live, 529.2MiB allocated
Compiler

Compiled 28 066 to 3 587 computations (87.2% saved)

prune61.0ms (0.8%)

Memory
10.9MiB live, 213.2MiB allocated
Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New1 283181 301
Fresh51419
Picked415
Done033
Total1 292361 328
Accuracy
100.0%
Counts
1 328 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
56.7%
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64))
71.9%
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x)))
76.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))))
38.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
24.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
83.4%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
52.6%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
63.4%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
59.9%
(*.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
49.8%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
24.9%
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41.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
29.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
49.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
45.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
34.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
25.4%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
29.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x))) (-.f64 x #s(literal 1 binary64))))
19.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
24.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
59.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
76.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
41.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
41.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
60.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
63.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(approx (/ (+ (cos y) x) z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z))
27.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z))
49.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z))
49.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x #s(literal 1 binary64)) x)))
21.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
3.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
8.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
40.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
24.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
88.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)))
Compiler

Compiled 949 to 745 computations (21.5% saved)

simplify115.0ms (1.5%)

Memory
2.0MiB live, 167.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) z)
cost-diff0
#s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
cost-diff0
(fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64))
cost-diff0
#s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff0
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
cost-diff128
(-.f64 (*.f64 x x) #s(literal 1 binary64))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) z)
cost-diff0
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
cost-diff0
#s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))
cost-diff0
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)))
cost-diff576
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64))
cost-diff1024
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060423
086421
1149421
2250421
3484421
4996412
52281401
64675401
08171388
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64))
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
(sin.f64 y)
(/.f64 z x)
x
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (- x 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64))
#s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))
(*.f64 #s(literal -1/720 binary64) (*.f64 y y))
#s(literal -1/720 binary64)
(*.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
#s(literal -1 binary64)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))))
#s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)))
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (cos.f64 y)) x) #s(literal -1 binary64))
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
z
(sin.f64 y)
(/.f64 z x)
x
#s(literal 1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
#s(approx (- x 1) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x))
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
(+.f64 #s(approx (cos y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) x)
#s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
#s(approx (cos y) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64))
(fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64))) (*.f64 y y) #s(literal -1/2 binary64))
#s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))
#s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 (*.f64 y y) #s(literal -1/720 binary64)))
(*.f64 #s(literal -1/720 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
(*.f64 y y)
y
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
#s(literal 1 binary64)
#s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
#s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))
#s(literal -1 binary64)
(*.f64 (sin.f64 y) z)
(sin.f64 y)
y
z

localize140.0ms (1.8%)

Memory
-6.3MiB live, 353.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1171875
(*.f64 (sin.f64 y) z)
accuracy0.21875
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
accuracy0.2265625
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
accuracy48.137167740084465
#s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
accuracy0.3748541199049925
(*.f64 #s(literal -1/720 binary64) (*.f64 y y))
accuracy15.172502653415592
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
accuracy27.227725544750786
#s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))
accuracy35.265162190462355
#s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy0
(*.f64 x x)
accuracy12.801555795991844
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))
accuracy25.17765406818327
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
accuracy27.659446115485277
#s(approx (- x 1) #s(literal -1 binary64))
accuracy0
(*.f64 (neg.f64 y) z)
accuracy0
(neg.f64 y)
accuracy31.974112705394365
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
accuracy50.793252670810254
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))
accuracy0.00390625
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y))
accuracy0.1015625
(/.f64 (cos.f64 y) z)
accuracy3.4352438589905243
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64))
accuracy3.8565777857690398
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)
Samples
109.0ms256×0valid
Compiler

Compiled 241 to 50 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 28.0ms (32.5% of total)
ival-div: 13.0ms (15.1% of total)
ival-add: 11.0ms (12.8% of total)
ival-sin: 7.0ms (8.1% of total)
ival-sub: 7.0ms (8.1% of total)
ival-cos: 7.0ms (8.1% of total)
const: 7.0ms (8.1% of total)
ival-pow: 4.0ms (4.6% of total)
ival-neg: 2.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series71.0ms (0.9%)

Memory
-10.5MiB live, 144.6MiB allocated
Counts
26 → 624
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) (patch #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) (patch #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))) (patch (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (patch (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) (patch #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ())
#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ())
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (patch (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (patch #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) (patch (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())
Outputs
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) (patch (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ (cos y) x)) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) (patch #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) (patch #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) (patch #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) (patch #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) (patch #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) (patch #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) (patch #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) (patch #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ())
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
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Calls

9 calls:

TimeVariablePointExpression
14.0ms
z
@inf
((* (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) x) (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (- (+ x (cos y)) (* z (sin y))) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg y) z) (neg y) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (/ (- (* x x) 1) (- x 1)) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) z) (- (/ (cos y) z) (sin y)) (- x 1) (+ (* -1/720 (* y y)) 1/24) (* -1/720 (* y y)) (/ -1 (* (sin y) z)))
8.0ms
y
@inf
((* (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) x) (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (- (+ x (cos y)) (* z (sin y))) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg y) z) (neg y) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (/ (- (* x x) 1) (- x 1)) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) z) (- (/ (cos y) z) (sin y)) (- x 1) (+ (* -1/720 (* y y)) 1/24) (* -1/720 (* y y)) (/ -1 (* (sin y) z)))
4.0ms
y
@-inf
((* (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) x) (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (- (+ x (cos y)) (* z (sin y))) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg y) z) (neg y) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (/ (- (* x x) 1) (- x 1)) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) z) (- (/ (cos y) z) (sin y)) (- x 1) (+ (* -1/720 (* y y)) 1/24) (* -1/720 (* y y)) (/ -1 (* (sin y) z)))
4.0ms
z
@0
((* (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) x) (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (- (+ x (cos y)) (* z (sin y))) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg y) z) (neg y) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (/ (- (* x x) 1) (- x 1)) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) z) (- (/ (cos y) z) (sin y)) (- x 1) (+ (* -1/720 (* y y)) 1/24) (* -1/720 (* y y)) (/ -1 (* (sin y) z)))
4.0ms
z
@-inf
((* (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) x) (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (- (+ x (cos y)) (* z (sin y))) (* (- (/ (+ (cos y) x) z) (sin y)) z) (- (+ x (cos y)) (* z (sin y))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (* (neg y) z) (neg y) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (/ (- (* x x) 1) (- x 1)) (* x x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (* (sin y) z) (sin y) (/ (cos y) z) (- (/ (cos y) z) (sin y)) (- x 1) (+ (* -1/720 (* y y)) 1/24) (* -1/720 (* y y)) (/ -1 (* (sin y) z)))

simplify209.0ms (2.7%)

Memory
14.3MiB live, 296.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04796234
114165879
241225808
089385603
Stop Event
iter limit
node limit
Counts
624 → 601
Calls
Call 1
Inputs
(* x (+ 1 (/ (cos y) x)))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(+ 1 (/ (cos y) x))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (cos y))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ 1 (+ x (cos y)))
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (+ (cos y) (* -1 (* z (sin y)))) z)
(/ (+ (cos y) (* -1 (* z (sin y)))) z)
(/ (+ (cos y) (* -1 (* z (sin y)))) z)
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))
(* -1 (/ (* z (sin y)) x))
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))
(* z (- (+ (/ 1 z) (/ (cos y) (* x z))) (/ (sin y) x)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* y z))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z)))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* -1 (* z (sin y)))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(* z (+ (* -1 (sin y)) (+ (/ x z) (/ (cos y) z))))
(/ -1 (* z (sin y)))
(/ (- (* -1 (/ (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2))) z)) (/ 1 (sin y))) z)
(/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2)))))) z)
(/ (- (* -1 (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 3) (pow (sin y) 2)))) (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (+ (/ (cos y) (* z (pow (sin y) 2))) (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* (pow z 2) (sin y))))))) z)
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(* -1 (sin y))
(- (/ (cos y) z) (sin y))
(- (/ (cos y) z) (sin y))
(- (/ (cos y) z) (sin y))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (* x (+ 1 (/ (cos y) x))) z)))))
(* -1 (/ (* z (sin y)) x))
(* -1 (* z (+ (* -1 (/ (+ 1 (/ (cos y) x)) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (+ 1 (/ (cos y) x)) z)) (/ (sin y) x))))
(* -1 (* z (+ (* -1 (/ (+ 1 (/ (cos y) x)) z)) (/ (sin y) x))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z)))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (sin y)))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y)))))
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(* -1 (* z (sin y)))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z)))))
(/ -1 (* z (sin y)))
(* -1 (/ (+ (/ 1 (sin y)) (+ (/ x (* z (pow (sin y) 2))) (/ (cos y) (* z (pow (sin y) 2))))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (sin y)))) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (cos y)) 2) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (* z (pow (sin y) 2))) (* -1 (/ (* (+ x (cos y)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) (sin y)))) z)) (+ (/ x (pow (sin y) 2)) (/ (cos y) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(* -1 (sin y))
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(- (/ (cos y) z) (sin y))
(- (/ (cos y) z) (sin y))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(* x (+ 1 (/ 1 x)))
(+ (* -1 (* y z)) (* x (+ 1 (/ 1 x))))
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* -1/2 y))))
(+ (* x (+ 1 (/ 1 x))) (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))
(+ 1 (/ 1 x))
(+ 1 (+ (* -1 (/ (* y z) x)) (/ 1 x)))
(+ 1 (+ (* y (+ (* -1 (/ z x)) (* -1/2 (/ y x)))) (/ 1 x)))
(+ 1 (+ (* y (+ (* -1 (/ z x)) (* y (- (* 1/6 (/ (* y z) x)) (* 1/2 (/ 1 x)))))) (/ 1 x)))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(* z (+ (/ 1 z) (/ x z)))
(+ (* -1 (* y z)) (* z (+ (/ 1 z) (/ x z))))
(+ (* y (+ (* -1 z) (* -1/2 y))) (* z (+ (/ 1 z) (/ x z))))
(+ (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))) (* z (+ (/ 1 z) (/ x z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))))
(+ 1 x)
(+ 1 (+ x (* -1/2 (pow y 2))))
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))))
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))))
1
(+ 1 (* -1/2 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))
-1/2
(- (* 1/24 (pow y 2)) 1/2)
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)
(+ 1 x)
(+ 1 (+ x (* -1 (* y z))))
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y)))))
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2))))))
(/ 1 (+ 1 x))
(+ (/ 1 (+ 1 x)) (/ (* y z) (pow (+ 1 x) 2)))
(+ (* y (- (* y (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* z (- (* 1/2 (/ 1 (pow (+ 1 x) 2))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (+ 1 x))) (+ (* -1/2 (/ z (pow (+ 1 x) 3))) (* 1/6 (/ z (pow (+ 1 x) 2))))))) (* 1/2 (/ 1 (pow (+ 1 x) 2)))) (* -1 (/ (pow z 2) (pow (+ 1 x) 3))))) (* -1 (/ z (pow (+ 1 x) 2))))) (/ 1 (+ 1 x)))
(* y z)
(* y (+ z (* -1/6 (* (pow y 2) z))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z))))))
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ 1 z)
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z))
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z))
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z))
(/ 1 z)
(+ (* -1 y) (/ 1 z))
(+ (* y (- (* -1/2 (/ y z)) 1)) (/ 1 z))
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (/ 1 z))
1/24
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(+ 1/24 (* -1/720 (pow y 2)))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(/ -1 (* y z))
(/ (- (* -1/6 (/ (pow y 2) z)) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* -7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y)
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(- (/ (cos y) z) (sin y))
(- (/ (cos y) z) (sin y))
(- (/ (cos y) z) (sin y))
(- (/ (cos y) z) (sin y))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* -1/2 (pow y 2))
(* (pow y 2) (- (* -1 (/ z y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(cos y)
(cos y)
(cos y)
(cos y)
(* -1/720 (pow y 4))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(/ 1 (+ x (+ (cos y) (* -1 (* z (sin y))))))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(* z (sin y))
(sin y)
(sin y)
(sin y)
(sin y)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(/ (cos y) z)
(- (/ (cos y) z) (sin y))
(- (/ (cos y) z) (sin y))
(- (/ (cos y) z) (sin y))
(- (/ (cos y) z) (sin y))
(* -1/720 (pow y 2))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(* -1/720 (pow y 2))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(/ -1 (* z (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(/ (* z (- (/ (cos y) z) (sin y))) x)
(/ (+ x (* z (- (/ (cos y) z) (sin y)))) x)
(/ (+ x (* z (- (/ (cos y) z) (sin y)))) x)
(/ (+ x (* z (- (/ (cos y) z) (sin y)))) x)
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(* z (- (/ (cos y) z) (sin y)))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(+ x (* z (- (/ (cos y) z) (sin y))))
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(+ 1 (* y (- (* -1/2 y) z)))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
(+ 1 (+ x (* y (- (* -1/2 y) z))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (cos y) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(- (+ x (cos y)) (* z (sin y)))
(cos y)
(+ x (cos y))
(+ x (cos y))
(+ x (cos y))
(+ (cos y) (* -1 (* z (sin y))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(/ 1 (+ (cos y) (* -1 (* z (sin y)))))
(+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 2))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))
(+ (* x (- (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 3)) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (cos y) (* -1 (* z (sin y)))) 4))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 3)))) (/ 1 (pow (+ (cos y) (* -1 (* z (sin y)))) 2)))) (/ 1 (+ (cos y) (* -1 (* z (sin y))))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
1
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x)))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x)))
x
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
(* x (+ 1 (/ (cos y) x)))
x
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))))
(/ 1 x)
(/ (+ 1 (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x))) x)
(/ (- (+ 1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) x)
(/ (- (+ 1 (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (sin y)) x)) (+ (* -1 (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) (pow x 2))) (/ (cos y) x)))) x)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
1
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
(+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
(* -1 (* x (- (* -1 (/ (cos y) x)) 1)))
x
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1)))
(/ 1 x)
(* -1 (/ (- (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 2) x) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (cos y) (* -1 (* z (sin y)))) 3) x) (pow (+ (cos y) (* -1 (* z (sin y)))) 2)) x)) (+ (cos y) (* -1 (* z (sin y))))) x)) 1) x))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(* x (+ 1 (/ (cos y) x)))
(fma.f64 (/.f64 (cos.f64 y) x) x x)
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (/.f64 (cos.f64 y) x) x x))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (/.f64 (cos.f64 y) x) x x))
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x))))
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (/.f64 (cos.f64 y) x) x x))
(+ 1 (/ (cos y) x))
(+.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ 1 (+ x (* -1/2 (pow y 2))))
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (cos y))
(+.f64 (cos.f64 y) x)
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(+ x (+ (cos y) (* -1 (* z (sin y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x))
(/ 1 (+ x (cos y)))
(/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))
(+ (/ 1 (+ x (cos y))) (/ (* z (sin y)) (pow (+ x (cos y)) 2)))
(fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))
(+ (* z (- (/ (* z (pow (sin y) 2)) (pow (+ x (cos y)) 3)) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64))) (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (pow (+ x (cos y)) 4)) (* -1 (/ (pow (sin y) 2) (pow (+ x (cos y)) 3))))) (* -1 (/ (sin y) (pow (+ x (cos y)) 2))))) (/ 1 (+ x (cos y))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (/.f64 z (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 3 binary64)))) z (/.f64 (sin.f64 y) (pow.f64 (+.f64 (cos.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x)))
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(* z (sin y))
(*.f64 (sin.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (cos y) z)
(/.f64 (cos.f64 y) z)
(/ (+ (cos y) (* -1 (* z (sin y)))) z)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) z)
(/ (+ (cos y) (* -1 (* z (sin y)))) z)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) z)
(/ (+ (cos y) (* -1 (* z (sin y)))) z)
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) z)
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(/ -1 (* z (sin y)))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
(* -1 (* z (sin y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) x) x x) z) (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) x) x x) z) (sin.f64 y)) z)
(* z (+ (* -1 (sin y)) (/ (* x (+ 1 (/ (cos y) x))) z)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) x) x x) z) (sin.f64 y)) z)
(* -1 (/ (* z (sin y)) x))
(*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))
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x
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1)))
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(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) z) #s(literal -1 binary64) (sin.f64 y)) (/.f64 z x) #s(literal -1 binary64)))
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1
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x
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)))
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x
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x
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x)))
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1)))
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(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) x x))
x
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(pow x 2)
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x
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(/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (*.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) x)) x) #s(literal 1 binary64)) x)
x
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rewrite168.0ms (2.2%)

Memory
-17.2MiB live, 215.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060372
086370
1379370
22985370
08378360
Stop Event
iter limit
node limit
iter limit
Counts
26 → 275
Calls
Call 1
Inputs
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
#s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z))
(*.f64 (neg.f64 y) z)
(neg.f64 y)
(-.f64 (*.f64 x x) #s(literal 1 binary64))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64)))
(*.f64 x x)
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(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
#s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))
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#s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))
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(/.f64 (cos.f64 y) z)
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#s(approx (- x 1) #s(literal -1 binary64))
#s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))
(*.f64 #s(literal -1/720 binary64) (*.f64 y y))
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))
Outputs
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eval132.0ms (1.7%)

Memory
24.5MiB live, 226.6MiB allocated
Compiler

Compiled 14 000 to 1 890 computations (86.5% saved)

prune57.0ms (0.7%)

Memory
-31.8MiB live, 171.1MiB allocated
Pruning

43 alts after pruning (36 fresh and 7 done)

PrunedKeptTotal
New87414888
Fresh52227
Picked235
Done044
Total88143924
Accuracy
100.0%
Counts
924 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
56.7%
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64))
71.9%
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x)))
24.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
24.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))))))
76.1%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))))
38.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
24.9%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
7.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))))
8.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))))
8.0%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
8.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
83.4%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
52.6%
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
63.4%
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
49.8%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
24.9%
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 (sin.f64 y)) z))
29.1%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
49.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
45.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
34.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
29.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x))) (-.f64 x #s(literal 1 binary64))))
19.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
3.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
24.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
59.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
76.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
41.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
41.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
60.7%
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
63.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(approx (/ (+ (cos y) x) z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z))
49.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z))
49.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 1 binary64))))
6.5%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z)))
3.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
8.2%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
40.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
24.8%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
73.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) (/.f64 z x) #s(literal 1 binary64)) x)))
53.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 z x) #s(literal 1 binary64)) x)))
60.6%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)))
19.0%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)))
38.3%
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) #s(literal 1 binary64)) x)))
Compiler

Compiled 1 370 to 744 computations (45.7% saved)

regimes82.0ms (1.1%)

Memory
10.2MiB live, 126.7MiB allocated
Counts
63 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x))) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) (/.f64 z x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))))))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 #s(approx (/ (+ (cos y) x) z) (/.f64 (cos.f64 y) z)) (sin.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (/.f64 (+.f64 (cos.f64 y) x) z) (sin.f64 y)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x)))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (cos.f64 y) (fma.f64 (neg.f64 z) (sin.f64 y) x)))
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 #s(approx (+ (* (sin y) z) (+ (cos y) x)) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
(*.f64 #s(approx (+ (* (sin y) z) (+ (cos y) x)) (fma.f64 (fma.f64 (/.f64 (sin.f64 y) x) z (/.f64 (cos.f64 y) x)) x x)) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 x (cos.f64 y))) (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (/.f64 (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (+.f64 x (cos.f64 y))) (pow.f64 (+.f64 x (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64)))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 (cos.f64 y) x)) #s(literal -1 binary64))))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

22.0ms
x
20.0ms
y
20.0ms
z
17.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes70.0ms (0.9%)

Memory
1.5MiB live, 76.0MiB allocated
Counts
51 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x))) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) (/.f64 z x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))))))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
Calls

4 calls:

22.0ms
x
18.0ms
z
14.0ms
y
14.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
99.7%3x
88.2%3y
99.0%3z
99.6%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes50.0ms (0.6%)

Memory
10.8MiB live, 47.8MiB allocated
Counts
50 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x))) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 (sin.f64 y)) z))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (*.f64 (neg.f64 z) (/.f64 (sin.f64 y) x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 y) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 (cos.f64 y) z)) (/.f64 z x) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) (sin.f64 y))))))
Outputs
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))
Calls

3 calls:

19.0ms
z
14.0ms
x
14.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
99.0%3z
99.0%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
83.4%1x
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes94.0ms (1.2%)

Memory
11.6MiB live, 56.5MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x))) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (*.f64 (neg.f64 (sin.f64 y)) z))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))
Calls

4 calls:

55.0ms
z
12.0ms
y
12.0ms
x
12.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
AccuracySegmentsBranch
76.3%1x
81.8%3y
85.2%3z
77.9%2(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes67.0ms (0.9%)

Memory
-10.1MiB live, 27.4MiB allocated
Counts
41 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x))) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))
Calls

2 calls:

54.0ms
z
11.0ms
y
Results
AccuracySegmentsBranch
81.8%3y
76.3%1z
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes94.0ms (1.2%)

Memory
11.3MiB live, 48.8MiB allocated
Counts
40 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x))) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
Calls

4 calls:

58.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms
z
11.0ms
x
11.0ms
y
Results
AccuracySegmentsBranch
76.0%3x
60.7%1z
77.5%3(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
70.0%4y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes79.0ms (1%)

Memory
-0.9MiB live, 36.7MiB allocated
Counts
39 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 #s(literal -1/2 binary64) y)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(approx (+ 1 x) #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (/.f64 x z)) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(approx (- x 1) #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (- (/ (+ (cos y) x) z) (sin y)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) z))) z))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) z)))
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #s(approx (* z (sin y)) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) (/.f64 y x) #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (* -1/2 y) z) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (+.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y) x) x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (/.f64 #s(literal -1 binary64) y) z))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (-.f64 (/.f64 #s(literal 1 binary64) z) y)) (/.f64 z x) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (- (* x x) 1) (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) x x))) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) z) y)))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) (/.f64 #s(literal -1 binary64) #s(approx (* (sin y) z) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) z) y)))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (+ (cos y) x)) -1) #s(approx (/ -1 (* (sin y) z)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal -1 binary64) z)) y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (+.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal -1/2 binary64) (/.f64 z y))) (*.f64 y y))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
Calls

3 calls:

55.0ms
x
11.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms
y
Results
AccuracySegmentsBranch
66.3%3y
64.6%3x
62.3%2(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes7.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) #s(literal 1 binary64)) x)))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 y) z)))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
Calls

3 calls:

2.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
60.7%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
60.7%1x
60.7%1y
Compiler

Compiled 11 to 14 computations (-27.3% saved)

regimes216.0ms (2.8%)

Memory
-223.0MiB live, 10.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
Outputs
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
Calls

4 calls:

211.0ms
z
1.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
24.8%1z
24.8%1x
24.8%1y
24.8%1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch28.0ms (0.4%)

Memory
23.4MiB live, 23.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
2.276251441638727e-28
3.8677964729295428e-28
17.0ms
-32137746259636.563
-16556604103.087551
Samples
18.0ms192×0valid
Compiler

Compiled 216 to 242 computations (-12% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-cos: 5.0ms (39.7% of total)
ival-sin: 4.0ms (31.8% of total)
ival-sub: 1.0ms (7.9% of total)
ival-add: 1.0ms (7.9% of total)
ival-mult: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9926442776094148
0.9989089589324155
0.0ms
-4.330316810099699
-0.9986444517938162
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch77.0ms (1%)

Memory
-7.3MiB live, 35.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
20.0ms
9.411639239584722e+22
7.182359275129236e+30
54.0ms
-5.523160034305289e+91
-1.527122715800226e+89
Samples
63.0ms272×0valid
Compiler

Compiled 199 to 269 computations (-35.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 39.0ms (69.4% of total)
ival-cos: 8.0ms (14.2% of total)
ival-sin: 7.0ms (12.5% of total)
ival-sub: 1.0ms (1.8% of total)
ival-add: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch97.0ms (1.3%)

Memory
2.1MiB live, 79.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
34.0ms
18593633292506.18
7622082989239919.0
60.0ms
-3.928997092536477e+30
-1039102316986626000.0
Samples
67.0ms288×0valid
Compiler

Compiled 300 to 338 computations (-12.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-cos: 45.0ms (75.3% of total)
ival-sin: 10.0ms (16.7% of total)
ival-add: 2.0ms (3.3% of total)
ival-mult: 2.0ms (3.3% of total)
ival-sub: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9926442776094148
0.9989089589324155
0.0ms
-376355303.3516115
-4.330316810099699
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch71.0ms (0.9%)

Memory
-19.6MiB live, 63.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
7.106789487598513e+40
5.270755708211886e+43
39.0ms
-9.211612338982706e+92
-5.557241101839019e+88
Samples
48.0ms256×0valid
Compiler

Compiled 188 to 254 computations (-35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-sin: 28.0ms (67.6% of total)
ival-cos: 9.0ms (21.7% of total)
ival-mult: 2.0ms (4.8% of total)
ival-sub: 1.0ms (2.4% of total)
ival-add: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify51.0ms (0.7%)

Memory
18.9MiB live, 58.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087393
1109393
2126393
3133393
4137393
5138393
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -16600000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 8474283175441637/22300745198530623141535718272648361505980416 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -4 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 z #s(literal -409999999999999985127704091882033049495015897498783606092076890896367566531497515754192896 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 1099999999999999993725589651456 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))
(if (<=.f64 y #s(literal -1050000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 19000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -200000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) #s(literal 1 binary64)) x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -649999999999999961252941443179045468386714953071063824992943078245024843066876967537082368 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 5000000000000000069686058479707049565356032 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))
(if (<=.f64 x #s(literal -16600000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 x #s(literal 8474283175441637/22300745198530623141535718272648361505980416 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 x #s(literal -16600000000 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) (if (<=.f64 x #s(literal 8474283175441637/22300745198530623141535718272648361505980416 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 (sin.f64 y) z)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -4 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y)))))
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -4 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z))))
(if (<=.f64 z #s(literal -409999999999999985127704091882033049495015897498783606092076890896367566531497515754192896 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 1099999999999999993725589651456 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y)))))
(if (<=.f64 y #s(literal -1050000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 19000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x))))
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -200000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) #s(literal 1 binary64)) x))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))))
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -200000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (* (- (/ (+ (cos y) x) z) (sin y)) z) (*.f64 #s(approx (+ (* (- (/ (cos y) z) (sin y)) (/ z x)) 1) #s(literal 1 binary64)) x))) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal -649999999999999961252941443179045468386714953071063824992943078245024843066876967537082368 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 5000000000000000069686058479707049565356032 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64)))

soundness1.2s (15.1%)

Memory
4.1MiB live, 748.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118674
1334669
2869661
32601657
45308657
57444657
08081629
05756233
117905924
255915774
082575523
04796234
114165879
241225808
089385603
03685126
110644997
231134904
081454768
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 311 to 188 computations (39.5% saved)

preprocess56.0ms (0.7%)

Memory
13.4MiB live, 134.1MiB allocated
Compiler

Compiled 448 to 158 computations (64.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...